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TT: Fachverband Tiefe Temperaturen

TT 59: Transport: Poster

TT 59.5: Poster

Wednesday, March 20, 2024, 15:00–18:00, Poster E

Analysis of magnetism in monolayer graphene beyond half filling — •Maxime Lucas, Andreas Honecker, and Guy Trambly de Laissardière — Laboratoire de Physique Théorique et Modélisation, CY Cergy Paris Université / CNRS, France

Recent studies of twisted bilayer graphene (or other 2D materials) have been stimulated by the discovery of correlations between electronic flat-band states due to a moiré pattern [1]. It is shown experimentally and theoretically that the filling of the flat bands affects their magnetic properties significantly. On the other hand, the effect of doping on a simple graphene layer is still unclear. Indeed, its half-filled case is well known and has been studied by various theoretical approaches (real-space mean-field theories (MFT), Monte Carlo) [2], but unlike other lattices [3] its magnetic properties beyond half filling are mostly unexplored [4]. Here, we present our analysis of graphene magnetism using a combination of the Hubbard model and MFT.

[1] Y. Cao et al., Nature 556, 43 (2018); Nature 556, 80 (2018)

[2] M. Raczkowski, R. Peters, T.T. Phùng, N. Takemori, F.F. Assaad, A. Honecker, J. Vahedi, Phys. Rev. B 101, 125103 (2020), and Refs. therein.

[3] R. Scholle, P. M. Bonetti, D. Vilardi, W. Metzner, Phys. Rev. B 108, 035139 (2023)

[4] S. Jiang, A. Mesaros, Y. Ran, Phys. Rev. X 4, 031040 (2014)

Keywords: Graphene; Magnetism; Hubbard model; real-space Mean-field